Question

He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get to the end of the trail

Answer 1

Answer:

$10x^2-x+3$ miles.

Step-by-step explanation:

It is given that,

Total length of park trail = $10x^2+4x+2$ miles

Total length traveled by hiker = $5x-1$ miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length $=10x^2+4x+2-(5x-1)$

               $=10x^2+4x+2-5x+1$

               $=10x^2+(4x-5x)+(2+1)$

               $=10x^2-x+3$

Therefore, hiker need to travel $10x^2-x+3$ miles to get to the end of the trail.